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Popular >

simplify log_{10}(1x10^{-1})

Solution

simplify

lo g_{10} (1 x 1 0^{- 1})

Solution

lo g_{10} (x) - 1

Solution steps

lo g_{10} (1 \cdot x \cdot 1 0^{- 1})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (1 \cdot x \cdot 1 0^{- 1}) = lo g_{10} (1 \cdot x) + lo g_{10} (1 0^{- 1})

= lo g_{10} (1 \cdot x) + lo g_{10} (1 0^{- 1})

Simplify

1 \cdot x : x

= lo g_{10} (x) + lo g_{10} (1 0^{- 1})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{10} (1 0^{- 1}) = - 1

= lo g_{10} (x) - 1

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Frequently Asked Questions (FAQ)

What is log_{10}(1x10^{-1}) ?
The solution to log_{10}(1x10^{-1}) is log_{10}(x)-1